cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A053375 Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 3 mod 4.

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%I A053375 #13 Apr 14 2019 10:53:23
%S A053375 1,3,3,1,39,5,273,1,4,531,7,7,12,69,5967,413,9,9,3,165,4,22419,93,28,
%T A053375 105,11,11,419775,927,6578829,1,140634693,20,105,5019135,13,313191,36,
%U A053375 123,650783,1,1153080099,4,19162705353,3,5,15,15,5,3
%N A053375 Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 3 mod 4.
%C A053375 Entries are indexed by values of n from A039957.
%D A053375 R. A. Mollin, Quadratics, CRC Press, 1996, Tables B1-B3.
%H A053375 S. R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/">Class number theory</a>
%H A053375 Steven R. Finch, <a href="/A000924/a000924.pdf">Class number theory</a> [Cached copy, with permission of the author]
%t A053375 A039957 = Select[ Range[250], SquareFreeQ[#] && Mod[#, 4] == 3 & ]; A053375 = (NumberFieldFundamentalUnits[ Sqrt[#]][[1, 2, 2]] & ) /@ A039957 (* _Jean-François Alcover_, Jan 04 2012 *)
%Y A053375 Cf. A053370-A053375.
%K A053375 nonn,easy,nice
%O A053375 0,2
%A A053375 _N. J. A. Sloane_, Jan 06 2000